Beats vs cycles vs cents

[Sarah Fox]

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Hi Avery,

Here's a simple formula for you to calculate how many cents, c, to =
offset your tuning for any given frequency of "A"...

let c =3D number of cents offset
let F =3D frequency reference (in your case, 415 Hz)

Note: There are 1200 cents per octave (per doubling of frequency).


F/440 =3D 2^(c/1200)  (Note: c=3D0 when F=3D440.)
log(F) - log(440) =3D (c/1200) log(2)
c =3D 1200 (log(F)-log(440)) / log(2)

c =3D 3986.3 log(F) - 10536.6

Plugging in 415 Hz for F, c =3D -101.3 cents offset

Hope that helps.  :-)

Peace,
Sarah


  ----- Original Message -----=20
  From: Avery Todd=20
  To: Pianotech=20
  Sent: Monday, March 15, 2004 11:39 PM
  Subject: Re: Beats vs cycles vs cents


  Sarah,=20

  Just wondering, but why then do "they" say that to tune to A-415,=20
  one's ETD should be set to 101.3 cents offset? Have I understood=20
  wrong?=20

  Avery=20

  =20

    And yes, there are 100 cents between one half step and the next,
    =20
    Peace,
    Sarah
    =20
    =20
    =20
    ----- Original Message -----=20

      From: Jean-Jacques Granas=20

      To: pianotech@ptg.org=20

      Sent: Monday, March 15, 2004 5:44 PM

      Subject: Beats vs cycles vs cents


      Hi Joseph,



      So if I understand this right, cents are units along a scale =
leading from one half tone to the next, while beats are pegged to the =
specific unison's frquency. Did I understand this right?



      Peace

      jj

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